Finding the Third Proportional to 35,879 and 55,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,879 : 55,332.50 = 55,332.50 : x
2. Step 2: Convert to fraction form
   35,879/55,332.50 = 55,332.50/x
3. Step 3: Cross multiply
   35,879x = 55,332.50 × 55,332.50
4. Step 4: Simplify right side
   35,879x = 3,061,685,556.25
5. Step 5: Solve for x
   x = 3,061,685,556.25/35,879
6. Step 6: Final answer
   x = 85,333.64